What is the Greatest Common Factor of 69920 and 69940?

Greatest common factor (GCF) of 69920 and 69940 is 20.

GCF(69920,69940) = 20

We will now calculate the prime factors of 69920 and 69940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69920 and 69940.

How to find the GCF of 69920 and 69940?

We will first find the prime factorization of 69920 and 69940. After we will calculate the factors of 69920 and 69940 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 69940

Prime factors of 69940 are 2, 5, 13, 269. Prime factorization of 69940 in exponential form is:

69940 = 2² × 5¹ × 13¹ × 269¹

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 69940

List of positive integer factors of 69940 that divides 69920 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 269, 538, 1076, 1345, 2690, 3497, 5380, 6994, 13988, 17485, 34970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69920 and 69940. The biggest common factor number is the GCF number.
So the greatest common factor 69920 and 69940 is 20.

Also check out the Least Common Multiple of 69920 and 69940