What is the Greatest Common Factor of 69722 and 69732?

Greatest common factor (GCF) of 69722 and 69732 is 2.

GCF(69722,69732) = 2

We will now calculate the prime factors of 69722 and 69732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69722 and 69732.

How to find the GCF of 69722 and 69732?

We will first find the prime factorization of 69722 and 69732. After we will calculate the factors of 69722 and 69732 and find the biggest common factor number .

Step-1: Prime Factorization of 69722

Prime factors of 69722 are 2, 71, 491. Prime factorization of 69722 in exponential form is:

69722 = 2¹ × 71¹ × 491¹

Step-2: Prime Factorization of 69732

Prime factors of 69732 are 2, 3, 13, 149. Prime factorization of 69732 in exponential form is:

69732 = 2² × 3² × 13¹ × 149¹

Step-3: Factors of 69722

List of positive integer factors of 69722 that divides 69722 without a remainder.

1, 2, 71, 142, 491, 982, 34861

Step-4: Factors of 69732

List of positive integer factors of 69732 that divides 69722 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 149, 156, 234, 298, 447, 468, 596, 894, 1341, 1788, 1937, 2682, 3874, 5364, 5811, 7748, 11622, 17433, 23244, 34866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69722 and 69732. The biggest common factor number is the GCF number.
So the greatest common factor 69722 and 69732 is 2.

Also check out the Least Common Multiple of 69722 and 69732