What is the Greatest Common Factor of 45612 and 45632?

Greatest common factor (GCF) of 45612 and 45632 is 4.

GCF(45612,45632) = 4

We will now calculate the prime factors of 45612 and 45632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45612 and 45632.

How to find the GCF of 45612 and 45632?

We will first find the prime factorization of 45612 and 45632. After we will calculate the factors of 45612 and 45632 and find the biggest common factor number .

Step-1: Prime Factorization of 45612

Prime factors of 45612 are 2, 3, 7, 181. Prime factorization of 45612 in exponential form is:

45612 = 2² × 3² × 7¹ × 181¹

Step-2: Prime Factorization of 45632

Prime factors of 45632 are 2, 23, 31. Prime factorization of 45632 in exponential form is:

45632 = 2⁶ × 23¹ × 31¹

Step-3: Factors of 45612

List of positive integer factors of 45612 that divides 45612 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 181, 252, 362, 543, 724, 1086, 1267, 1629, 2172, 2534, 3258, 3801, 5068, 6516, 7602, 11403, 15204, 22806

Step-4: Factors of 45632

List of positive integer factors of 45632 that divides 45612 without a remainder.

1, 2, 4, 8, 16, 23, 31, 32, 46, 62, 64, 92, 124, 184, 248, 368, 496, 713, 736, 992, 1426, 1472, 1984, 2852, 5704, 11408, 22816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45612 and 45632. The biggest common factor number is the GCF number.
So the greatest common factor 45612 and 45632 is 4.

Also check out the Least Common Multiple of 45612 and 45632