What is the Greatest Common Factor of 4900 and 4920?

Greatest common factor (GCF) of 4900 and 4920 is 20.

GCF(4900,4920) = 20

We will now calculate the prime factors of 4900 and 4920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4900 and 4920.

How to find the GCF of 4900 and 4920?

We will first find the prime factorization of 4900 and 4920. After we will calculate the factors of 4900 and 4920 and find the biggest common factor number .

Step-1: Prime Factorization of 4900

Prime factors of 4900 are 2, 5, 7. Prime factorization of 4900 in exponential form is:

4900 = 2² × 5² × 7²

Step-2: 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-3: Factors of 4900

List of positive integer factors of 4900 that divides 4900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450

Step-4: Factors of 4920

List of positive integer factors of 4920 that divides 4900 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4900 and 4920. The biggest common factor number is the GCF number.
So the greatest common factor 4900 and 4920 is 20.

Also check out the Least Common Multiple of 4900 and 4920