What is the Greatest Common Factor of 74944 and 74962?

Greatest common factor (GCF) of 74944 and 74962 is 2.

GCF(74944,74962) = 2

We will now calculate the prime factors of 74944 and 74962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74944 and 74962.

How to find the GCF of 74944 and 74962?

We will first find the prime factorization of 74944 and 74962. After we will calculate the factors of 74944 and 74962 and find the biggest common factor number .

Step-1: Prime Factorization of 74944

Prime factors of 74944 are 2, 1171. Prime factorization of 74944 in exponential form is:

74944 = 2⁶ × 1171¹

Step-2: Prime Factorization of 74962

Prime factors of 74962 are 2, 37, 1013. Prime factorization of 74962 in exponential form is:

74962 = 2¹ × 37¹ × 1013¹

Step-3: Factors of 74944

List of positive integer factors of 74944 that divides 74944 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1171, 2342, 4684, 9368, 18736, 37472

Step-4: Factors of 74962

List of positive integer factors of 74962 that divides 74944 without a remainder.

1, 2, 37, 74, 1013, 2026, 37481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74944 and 74962. The biggest common factor number is the GCF number.
So the greatest common factor 74944 and 74962 is 2.

Also check out the Least Common Multiple of 74944 and 74962