What is the Greatest Common Factor of 62688 and 62693?

Greatest common factor (GCF) of 62688 and 62693 is 1.

GCF(62688,62693) = 1

We will now calculate the prime factors of 62688 and 62693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62688 and 62693.

How to find the GCF of 62688 and 62693?

We will first find the prime factorization of 62688 and 62693. After we will calculate the factors of 62688 and 62693 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 62693

Prime factors of 62693 are 71, 883. Prime factorization of 62693 in exponential form is:

62693 = 71¹ × 883¹

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 62693

List of positive integer factors of 62693 that divides 62688 without a remainder.

1, 71, 883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62688 and 62693. The biggest common factor number is the GCF number.
So the greatest common factor 62688 and 62693 is 1.

Also check out the Least Common Multiple of 62688 and 62693