What is the Greatest Common Factor of 59741 and 59752?

Greatest common factor (GCF) of 59741 and 59752 is 11.

GCF(59741,59752) = 11

We will now calculate the prime factors of 59741 and 59752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59741 and 59752.

How to find the GCF of 59741 and 59752?

We will first find the prime factorization of 59741 and 59752. After we will calculate the factors of 59741 and 59752 and find the biggest common factor number .

Step-1: Prime Factorization of 59741

Prime factors of 59741 are 11, 5431. Prime factorization of 59741 in exponential form is:

59741 = 11¹ × 5431¹

Step-2: Prime Factorization of 59752

Prime factors of 59752 are 2, 7, 11, 97. Prime factorization of 59752 in exponential form is:

59752 = 2³ × 7¹ × 11¹ × 97¹

Step-3: Factors of 59741

List of positive integer factors of 59741 that divides 59741 without a remainder.

1, 11, 5431

Step-4: Factors of 59752

List of positive integer factors of 59752 that divides 59741 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 97, 154, 194, 308, 388, 616, 679, 776, 1067, 1358, 2134, 2716, 4268, 5432, 7469, 8536, 14938, 29876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59741 and 59752. The biggest common factor number is the GCF number.
So the greatest common factor 59741 and 59752 is 11.

Also check out the Least Common Multiple of 59741 and 59752