What is the Greatest Common Factor of 41972 and 41976?

Greatest common factor (GCF) of 41972 and 41976 is 4.

GCF(41972,41976) = 4

We will now calculate the prime factors of 41972 and 41976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41972 and 41976.

How to find the GCF of 41972 and 41976?

We will first find the prime factorization of 41972 and 41976. After we will calculate the factors of 41972 and 41976 and find the biggest common factor number .

Step-1: Prime Factorization of 41972

Prime factors of 41972 are 2, 7, 1499. Prime factorization of 41972 in exponential form is:

41972 = 2² × 7¹ × 1499¹

Step-2: Prime Factorization of 41976

Prime factors of 41976 are 2, 3, 11, 53. Prime factorization of 41976 in exponential form is:

41976 = 2³ × 3² × 11¹ × 53¹

Step-3: Factors of 41972

List of positive integer factors of 41972 that divides 41972 without a remainder.

1, 2, 4, 7, 14, 28, 1499, 2998, 5996, 10493, 20986

Step-4: Factors of 41976

List of positive integer factors of 41976 that divides 41972 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 53, 66, 72, 88, 99, 106, 132, 159, 198, 212, 264, 318, 396, 424, 477, 583, 636, 792, 954, 1166, 1272, 1749, 1908, 2332, 3498, 3816, 4664, 5247, 6996, 10494, 13992, 20988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41972 and 41976. The biggest common factor number is the GCF number.
So the greatest common factor 41972 and 41976 is 4.

Also check out the Least Common Multiple of 41972 and 41976