What is the Greatest Common Factor of 74920 and 74938?

Greatest common factor (GCF) of 74920 and 74938 is 2.

GCF(74920,74938) = 2

We will now calculate the prime factors of 74920 and 74938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74920 and 74938.

How to find the GCF of 74920 and 74938?

We will first find the prime factorization of 74920 and 74938. After we will calculate the factors of 74920 and 74938 and find the biggest common factor number .

Step-1: Prime Factorization of 74920

Prime factors of 74920 are 2, 5, 1873. Prime factorization of 74920 in exponential form is:

74920 = 2³ × 5¹ × 1873¹

Step-2: Prime Factorization of 74938

Prime factors of 74938 are 2, 89, 421. Prime factorization of 74938 in exponential form is:

74938 = 2¹ × 89¹ × 421¹

Step-3: Factors of 74920

List of positive integer factors of 74920 that divides 74920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1873, 3746, 7492, 9365, 14984, 18730, 37460

Step-4: Factors of 74938

List of positive integer factors of 74938 that divides 74920 without a remainder.

1, 2, 89, 178, 421, 842, 37469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74920 and 74938. The biggest common factor number is the GCF number.
So the greatest common factor 74920 and 74938 is 2.

Also check out the Least Common Multiple of 74920 and 74938