What is the Greatest Common Factor of 59738 and 59752?

Greatest common factor (GCF) of 59738 and 59752 is 14.

GCF(59738,59752) = 14

We will now calculate the prime factors of 59738 and 59752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59738 and 59752.

How to find the GCF of 59738 and 59752?

We will first find the prime factorization of 59738 and 59752. After we will calculate the factors of 59738 and 59752 and find the biggest common factor number .

Step-1: Prime Factorization of 59738

Prime factors of 59738 are 2, 7, 17, 251. Prime factorization of 59738 in exponential form is:

59738 = 2¹ × 7¹ × 17¹ × 251¹

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 59738

List of positive integer factors of 59738 that divides 59738 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 251, 502, 1757, 3514, 4267, 8534, 29869

Step-4: Factors of 59752

List of positive integer factors of 59752 that divides 59738 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 59738 and 59752. The biggest common factor number is the GCF number.
So the greatest common factor 59738 and 59752 is 14.

Also check out the Least Common Multiple of 59738 and 59752