What is the Greatest Common Factor of 69920 and 69930?

Greatest common factor (GCF) of 69920 and 69930 is 10.

GCF(69920,69930) = 10

We will now calculate the prime factors of 69920 and 69930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69920 and 69930.

How to find the GCF of 69920 and 69930?

We will first find the prime factorization of 69920 and 69930. After we will calculate the factors of 69920 and 69930 and find the biggest common factor number .

Step-1: Prime Factorization of 69920

Prime factors of 69920 are 2, 5, 19, 23. Prime factorization of 69920 in exponential form is:

69920 = 2⁵ × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 69930

Prime factors of 69930 are 2, 3, 5, 7, 37. Prime factorization of 69930 in exponential form is:

69930 = 2¹ × 3³ × 5¹ × 7¹ × 37¹

Step-3: Factors of 69920

List of positive integer factors of 69920 that divides 69920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 23, 32, 38, 40, 46, 76, 80, 92, 95, 115, 152, 160, 184, 190, 230, 304, 368, 380, 437, 460, 608, 736, 760, 874, 920, 1520, 1748, 1840, 2185, 3040, 3496, 3680, 4370, 6992, 8740, 13984, 17480, 34960

Step-4: Factors of 69930

List of positive integer factors of 69930 that divides 69920 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 37, 42, 45, 54, 63, 70, 74, 90, 105, 111, 126, 135, 185, 189, 210, 222, 259, 270, 315, 333, 370, 378, 518, 555, 630, 666, 777, 945, 999, 1110, 1295, 1554, 1665, 1890, 1998, 2331, 2590, 3330, 3885, 4662, 4995, 6993, 7770, 9990, 11655, 13986, 23310, 34965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69920 and 69930. The biggest common factor number is the GCF number.
So the greatest common factor 69920 and 69930 is 10.

Also check out the Least Common Multiple of 69920 and 69930