What is the Greatest Common Factor of 8722 and 8736?

Greatest common factor (GCF) of 8722 and 8736 is 14.

GCF(8722,8736) = 14

We will now calculate the prime factors of 8722 and 8736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8722 and 8736.

How to find the GCF of 8722 and 8736?

We will first find the prime factorization of 8722 and 8736. After we will calculate the factors of 8722 and 8736 and find the biggest common factor number .

Step-1: Prime Factorization of 8722

Prime factors of 8722 are 2, 7, 89. Prime factorization of 8722 in exponential form is:

8722 = 2¹ × 7² × 89¹

Step-2: Prime Factorization of 8736

Prime factors of 8736 are 2, 3, 7, 13. Prime factorization of 8736 in exponential form is:

8736 = 2⁵ × 3¹ × 7¹ × 13¹

Step-3: Factors of 8722

List of positive integer factors of 8722 that divides 8722 without a remainder.

1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361

Step-4: Factors of 8736

List of positive integer factors of 8736 that divides 8722 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8722 and 8736. The biggest common factor number is the GCF number.
So the greatest common factor 8722 and 8736 is 14.

Also check out the Least Common Multiple of 8722 and 8736