What is the Greatest Common Factor of 69920 and 69938?

Greatest common factor (GCF) of 69920 and 69938 is 2.

GCF(69920,69938) = 2

We will now calculate the prime factors of 69920 and 69938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69920 and 69938.

How to find the GCF of 69920 and 69938?

We will first find the prime factorization of 69920 and 69938. After we will calculate the factors of 69920 and 69938 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 69938

Prime factors of 69938 are 2, 11, 17. Prime factorization of 69938 in exponential form is:

69938 = 2¹ × 11² × 17²

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 69938

List of positive integer factors of 69938 that divides 69920 without a remainder.

1, 2, 11, 17, 22, 34, 121, 187, 242, 289, 374, 578, 2057, 3179, 4114, 6358, 34969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69920 and 69938. The biggest common factor number is the GCF number.
So the greatest common factor 69920 and 69938 is 2.

Also check out the Least Common Multiple of 69920 and 69938