What is the Greatest Common Factor of 96712 and 96729?

Greatest common factor (GCF) of 96712 and 96729 is 1.

GCF(96712,96729) = 1

We will now calculate the prime factors of 96712 and 96729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96712 and 96729.

How to find the GCF of 96712 and 96729?

We will first find the prime factorization of 96712 and 96729. After we will calculate the factors of 96712 and 96729 and find the biggest common factor number .

Step-1: Prime Factorization of 96712

Prime factors of 96712 are 2, 7, 11, 157. Prime factorization of 96712 in exponential form is:

96712 = 2³ × 7¹ × 11¹ × 157¹

Step-2: Prime Factorization of 96729

Prime factors of 96729 are 3, 19, 1697. Prime factorization of 96729 in exponential form is:

96729 = 3¹ × 19¹ × 1697¹

Step-3: Factors of 96712

List of positive integer factors of 96712 that divides 96712 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 157, 308, 314, 616, 628, 1099, 1256, 1727, 2198, 3454, 4396, 6908, 8792, 12089, 13816, 24178, 48356

Step-4: Factors of 96729

List of positive integer factors of 96729 that divides 96712 without a remainder.

1, 3, 19, 57, 1697, 5091, 32243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96712 and 96729. The biggest common factor number is the GCF number.
So the greatest common factor 96712 and 96729 is 1.

Also check out the Least Common Multiple of 96712 and 96729