What is the Greatest Common Factor of 36706 and 36722?

Greatest common factor (GCF) of 36706 and 36722 is 2.

GCF(36706,36722) = 2

We will now calculate the prime factors of 36706 and 36722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36706 and 36722.

How to find the GCF of 36706 and 36722?

We will first find the prime factorization of 36706 and 36722. After we will calculate the factors of 36706 and 36722 and find the biggest common factor number .

Step-1: Prime Factorization of 36706

Prime factors of 36706 are 2, 18353. Prime factorization of 36706 in exponential form is:

36706 = 2¹ × 18353¹

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 36706

List of positive integer factors of 36706 that divides 36706 without a remainder.

1, 2, 18353

Step-4: Factors of 36722

List of positive integer factors of 36722 that divides 36706 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 36706 and 36722. The biggest common factor number is the GCF number.
So the greatest common factor 36706 and 36722 is 2.

Also check out the Least Common Multiple of 36706 and 36722