What is the Greatest Common Factor of 36710 and 36722?

Greatest common factor (GCF) of 36710 and 36722 is 2.

GCF(36710,36722) = 2

We will now calculate the prime factors of 36710 and 36722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36710 and 36722.

How to find the GCF of 36710 and 36722?

We will first find the prime factorization of 36710 and 36722. After we will calculate the factors of 36710 and 36722 and find the biggest common factor number .

Step-1: Prime Factorization of 36710

Prime factors of 36710 are 2, 5, 3671. Prime factorization of 36710 in exponential form is:

36710 = 2¹ × 5¹ × 3671¹

Step-2: Prime Factorization of 36722

Prime factors of 36722 are 2, 7, 43, 61. Prime factorization of 36722 in exponential form is:

36722 = 2¹ × 7¹ × 43¹ × 61¹

Step-3: Factors of 36710

List of positive integer factors of 36710 that divides 36710 without a remainder.

1, 2, 5, 10, 3671, 7342, 18355

Step-4: Factors of 36722

List of positive integer factors of 36722 that divides 36710 without a remainder.

1, 2, 7, 14, 43, 61, 86, 122, 301, 427, 602, 854, 2623, 5246, 18361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36710 and 36722. The biggest common factor number is the GCF number.
So the greatest common factor 36710 and 36722 is 2.

Also check out the Least Common Multiple of 36710 and 36722