What is the Greatest Common Factor of 74925 and 74944?

Greatest common factor (GCF) of 74925 and 74944 is 1.

GCF(74925,74944) = 1

We will now calculate the prime factors of 74925 and 74944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74925 and 74944.

How to find the GCF of 74925 and 74944?

We will first find the prime factorization of 74925 and 74944. After we will calculate the factors of 74925 and 74944 and find the biggest common factor number .

Step-1: Prime Factorization of 74925

Prime factors of 74925 are 3, 5, 37. Prime factorization of 74925 in exponential form is:

74925 = 3⁴ × 5² × 37¹

Step-2: Prime Factorization of 74944

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

74944 = 2⁶ × 1171¹

Step-3: Factors of 74925

List of positive integer factors of 74925 that divides 74925 without a remainder.

1, 3, 5, 9, 15, 25, 27, 37, 45, 75, 81, 111, 135, 185, 225, 333, 405, 555, 675, 925, 999, 1665, 2025, 2775, 2997, 4995, 8325, 14985, 24975

Step-4: Factors of 74944

List of positive integer factors of 74944 that divides 74925 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74925 and 74944. The biggest common factor number is the GCF number.
So the greatest common factor 74925 and 74944 is 1.

Also check out the Least Common Multiple of 74925 and 74944