What is the Greatest Common Factor of 44708 and 44712?

Greatest common factor (GCF) of 44708 and 44712 is 4.

GCF(44708,44712) = 4

We will now calculate the prime factors of 44708 and 44712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44708 and 44712.

How to find the GCF of 44708 and 44712?

We will first find the prime factorization of 44708 and 44712. After we will calculate the factors of 44708 and 44712 and find the biggest common factor number .

Step-1: Prime Factorization of 44708

Prime factors of 44708 are 2, 11177. Prime factorization of 44708 in exponential form is:

44708 = 2² × 11177¹

Step-2: Prime Factorization of 44712

Prime factors of 44712 are 2, 3, 23. Prime factorization of 44712 in exponential form is:

44712 = 2³ × 3⁵ × 23¹

Step-3: Factors of 44708

List of positive integer factors of 44708 that divides 44708 without a remainder.

1, 2, 4, 11177, 22354

Step-4: Factors of 44712

List of positive integer factors of 44712 that divides 44708 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 81, 92, 108, 138, 162, 184, 207, 216, 243, 276, 324, 414, 486, 552, 621, 648, 828, 972, 1242, 1656, 1863, 1944, 2484, 3726, 4968, 5589, 7452, 11178, 14904, 22356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44708 and 44712. The biggest common factor number is the GCF number.
So the greatest common factor 44708 and 44712 is 4.

Also check out the Least Common Multiple of 44708 and 44712