What is the Greatest Common Factor of 4920 and 4932?

Greatest common factor (GCF) of 4920 and 4932 is 12.

GCF(4920,4932) = 12

We will now calculate the prime factors of 4920 and 4932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4920 and 4932.

How to find the GCF of 4920 and 4932?

We will first find the prime factorization of 4920 and 4932. After we will calculate the factors of 4920 and 4932 and find the biggest common factor number .

Step-1: Prime Factorization of 4920

Prime factors of 4920 are 2, 3, 5, 41. Prime factorization of 4920 in exponential form is:

4920 = 2³ × 3¹ × 5¹ × 41¹

Step-2: Prime Factorization of 4932

Prime factors of 4932 are 2, 3, 137. Prime factorization of 4932 in exponential form is:

4932 = 2² × 3² × 137¹

Step-3: Factors of 4920

List of positive integer factors of 4920 that divides 4920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460

Step-4: Factors of 4932

List of positive integer factors of 4932 that divides 4920 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4920 and 4932. The biggest common factor number is the GCF number.
So the greatest common factor 4920 and 4932 is 12.

Also check out the Least Common Multiple of 4920 and 4932