What is the Greatest Common Factor of 62688 and 62708?

Greatest common factor (GCF) of 62688 and 62708 is 4.

GCF(62688,62708) = 4

We will now calculate the prime factors of 62688 and 62708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62688 and 62708.

How to find the GCF of 62688 and 62708?

We will first find the prime factorization of 62688 and 62708. After we will calculate the factors of 62688 and 62708 and find the biggest common factor number .

Step-1: Prime Factorization of 62688

Prime factors of 62688 are 2, 3, 653. Prime factorization of 62688 in exponential form is:

62688 = 2⁵ × 3¹ × 653¹

Step-2: Prime Factorization of 62708

Prime factors of 62708 are 2, 61, 257. Prime factorization of 62708 in exponential form is:

62708 = 2² × 61¹ × 257¹

Step-3: Factors of 62688

List of positive integer factors of 62688 that divides 62688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 653, 1306, 1959, 2612, 3918, 5224, 7836, 10448, 15672, 20896, 31344

Step-4: Factors of 62708

List of positive integer factors of 62708 that divides 62688 without a remainder.

1, 2, 4, 61, 122, 244, 257, 514, 1028, 15677, 31354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62688 and 62708. The biggest common factor number is the GCF number.
So the greatest common factor 62688 and 62708 is 4.

Also check out the Least Common Multiple of 62688 and 62708