What is the Greatest Common Factor of 47560 and 47572?

Greatest common factor (GCF) of 47560 and 47572 is 4.

GCF(47560,47572) = 4

We will now calculate the prime factors of 47560 and 47572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47560 and 47572.

How to find the GCF of 47560 and 47572?

We will first find the prime factorization of 47560 and 47572. After we will calculate the factors of 47560 and 47572 and find the biggest common factor number .

Step-1: Prime Factorization of 47560

Prime factors of 47560 are 2, 5, 29, 41. Prime factorization of 47560 in exponential form is:

47560 = 2³ × 5¹ × 29¹ × 41¹

Step-2: Prime Factorization of 47572

Prime factors of 47572 are 2, 7, 1699. Prime factorization of 47572 in exponential form is:

47572 = 2² × 7¹ × 1699¹

Step-3: Factors of 47560

List of positive integer factors of 47560 that divides 47560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 41, 58, 82, 116, 145, 164, 205, 232, 290, 328, 410, 580, 820, 1160, 1189, 1640, 2378, 4756, 5945, 9512, 11890, 23780

Step-4: Factors of 47572

List of positive integer factors of 47572 that divides 47560 without a remainder.

1, 2, 4, 7, 14, 28, 1699, 3398, 6796, 11893, 23786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47560 and 47572. The biggest common factor number is the GCF number.
So the greatest common factor 47560 and 47572 is 4.

Also check out the Least Common Multiple of 47560 and 47572