What is the Greatest Common Factor of 69905 and 69920?

Greatest common factor (GCF) of 69905 and 69920 is 5.

GCF(69905,69920) = 5

We will now calculate the prime factors of 69905 and 69920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69905 and 69920.

How to find the GCF of 69905 and 69920?

We will first find the prime factorization of 69905 and 69920. After we will calculate the factors of 69905 and 69920 and find the biggest common factor number .

Step-1: Prime Factorization of 69905

Prime factors of 69905 are 5, 11, 31, 41. Prime factorization of 69905 in exponential form is:

69905 = 5¹ × 11¹ × 31¹ × 41¹

Step-2: 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-3: Factors of 69905

List of positive integer factors of 69905 that divides 69905 without a remainder.

1, 5, 11, 31, 41, 55, 155, 205, 341, 451, 1271, 1705, 2255, 6355, 13981

Step-4: Factors of 69920

List of positive integer factors of 69920 that divides 69905 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69905 and 69920. The biggest common factor number is the GCF number.
So the greatest common factor 69905 and 69920 is 5.

Also check out the Least Common Multiple of 69905 and 69920