What is the Greatest Common Factor of 47974 and 47992?

Greatest common factor (GCF) of 47974 and 47992 is 2.

GCF(47974,47992) = 2

We will now calculate the prime factors of 47974 and 47992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47974 and 47992.

How to find the GCF of 47974 and 47992?

We will first find the prime factorization of 47974 and 47992. After we will calculate the factors of 47974 and 47992 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 47992

Prime factors of 47992 are 2, 7, 857. Prime factorization of 47992 in exponential form is:

47992 = 2³ × 7¹ × 857¹

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 47992

List of positive integer factors of 47992 that divides 47974 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 857, 1714, 3428, 5999, 6856, 11998, 23996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47974 and 47992. The biggest common factor number is the GCF number.
So the greatest common factor 47974 and 47992 is 2.

Also check out the Least Common Multiple of 47974 and 47992