What is the Greatest Common Factor of 47974 and 47980?

Greatest common factor (GCF) of 47974 and 47980 is 2.

GCF(47974,47980) = 2

We will now calculate the prime factors of 47974 and 47980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47974 and 47980.

How to find the GCF of 47974 and 47980?

We will first find the prime factorization of 47974 and 47980. After we will calculate the factors of 47974 and 47980 and find the biggest common factor number .

Step-1: Prime Factorization of 47974

Prime factors of 47974 are 2, 17, 83. Prime factorization of 47974 in exponential form is:

47974 = 2¹ × 17² × 83¹

Step-2: Prime Factorization of 47980

Prime factors of 47980 are 2, 5, 2399. Prime factorization of 47980 in exponential form is:

47980 = 2² × 5¹ × 2399¹

Step-3: Factors of 47974

List of positive integer factors of 47974 that divides 47974 without a remainder.

1, 2, 17, 34, 83, 166, 289, 578, 1411, 2822, 23987

Step-4: Factors of 47980

List of positive integer factors of 47980 that divides 47974 without a remainder.

1, 2, 4, 5, 10, 20, 2399, 4798, 9596, 11995, 23990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47974 and 47980. The biggest common factor number is the GCF number.
So the greatest common factor 47974 and 47980 is 2.

Also check out the Least Common Multiple of 47974 and 47980