What is the Greatest Common Factor of 45708 and 45712?

Greatest common factor (GCF) of 45708 and 45712 is 4.

GCF(45708,45712) = 4

We will now calculate the prime factors of 45708 and 45712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45708 and 45712.

How to find the GCF of 45708 and 45712?

We will first find the prime factorization of 45708 and 45712. After we will calculate the factors of 45708 and 45712 and find the biggest common factor number .

Step-1: Prime Factorization of 45708

Prime factors of 45708 are 2, 3, 13, 293. Prime factorization of 45708 in exponential form is:

45708 = 2² × 3¹ × 13¹ × 293¹

Step-2: Prime Factorization of 45712

Prime factors of 45712 are 2, 2857. Prime factorization of 45712 in exponential form is:

45712 = 2⁴ × 2857¹

Step-3: Factors of 45708

List of positive integer factors of 45708 that divides 45708 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 293, 586, 879, 1172, 1758, 3516, 3809, 7618, 11427, 15236, 22854

Step-4: Factors of 45712

List of positive integer factors of 45712 that divides 45708 without a remainder.

1, 2, 4, 8, 16, 2857, 5714, 11428, 22856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45708 and 45712. The biggest common factor number is the GCF number.
So the greatest common factor 45708 and 45712 is 4.

Also check out the Least Common Multiple of 45708 and 45712