What is the Greatest Common Factor of 96652 and 96672?

Greatest common factor (GCF) of 96652 and 96672 is 4.

GCF(96652,96672) = 4

We will now calculate the prime factors of 96652 and 96672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96652 and 96672.

How to find the GCF of 96652 and 96672?

We will first find the prime factorization of 96652 and 96672. After we will calculate the factors of 96652 and 96672 and find the biggest common factor number .

Step-1: Prime Factorization of 96652

Prime factors of 96652 are 2, 73, 331. Prime factorization of 96652 in exponential form is:

96652 = 2² × 73¹ × 331¹

Step-2: Prime Factorization of 96672

Prime factors of 96672 are 2, 3, 19, 53. Prime factorization of 96672 in exponential form is:

96672 = 2⁵ × 3¹ × 19¹ × 53¹

Step-3: Factors of 96652

List of positive integer factors of 96652 that divides 96652 without a remainder.

1, 2, 4, 73, 146, 292, 331, 662, 1324, 24163, 48326

Step-4: Factors of 96672

List of positive integer factors of 96672 that divides 96652 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 53, 57, 76, 96, 106, 114, 152, 159, 212, 228, 304, 318, 424, 456, 608, 636, 848, 912, 1007, 1272, 1696, 1824, 2014, 2544, 3021, 4028, 5088, 6042, 8056, 12084, 16112, 24168, 32224, 48336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96652 and 96672. The biggest common factor number is the GCF number.
So the greatest common factor 96652 and 96672 is 4.

Also check out the Least Common Multiple of 96652 and 96672