What is the Greatest Common Factor of 36938 and 36958?

Greatest common factor (GCF) of 36938 and 36958 is 2.

GCF(36938,36958) = 2

We will now calculate the prime factors of 36938 and 36958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36938 and 36958.

How to find the GCF of 36938 and 36958?

We will first find the prime factorization of 36938 and 36958. After we will calculate the factors of 36938 and 36958 and find the biggest common factor number .

Step-1: Prime Factorization of 36938

Prime factors of 36938 are 2, 11, 23, 73. Prime factorization of 36938 in exponential form is:

36938 = 2¹ × 11¹ × 23¹ × 73¹

Step-2: Prime Factorization of 36958

Prime factors of 36958 are 2, 17, 1087. Prime factorization of 36958 in exponential form is:

36958 = 2¹ × 17¹ × 1087¹

Step-3: Factors of 36938

List of positive integer factors of 36938 that divides 36938 without a remainder.

1, 2, 11, 22, 23, 46, 73, 146, 253, 506, 803, 1606, 1679, 3358, 18469

Step-4: Factors of 36958

List of positive integer factors of 36958 that divides 36938 without a remainder.

1, 2, 17, 34, 1087, 2174, 18479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36938 and 36958. The biggest common factor number is the GCF number.
So the greatest common factor 36938 and 36958 is 2.

Also check out the Least Common Multiple of 36938 and 36958