What is the Greatest Common Factor of 59752 and 59766?

Greatest common factor (GCF) of 59752 and 59766 is 14.

GCF(59752,59766) = 14

We will now calculate the prime factors of 59752 and 59766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59752 and 59766.

How to find the GCF of 59752 and 59766?

We will first find the prime factorization of 59752 and 59766. After we will calculate the factors of 59752 and 59766 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59766

Prime factors of 59766 are 2, 3, 7, 1423. Prime factorization of 59766 in exponential form is:

59766 = 2¹ × 3¹ × 7¹ × 1423¹

Step-3: Factors of 59752

List of positive integer factors of 59752 that divides 59752 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

Step-4: Factors of 59766

List of positive integer factors of 59766 that divides 59752 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1423, 2846, 4269, 8538, 9961, 19922, 29883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59752 and 59766. The biggest common factor number is the GCF number.
So the greatest common factor 59752 and 59766 is 14.

Also check out the Least Common Multiple of 59752 and 59766