What is the Greatest Common Factor of 36935 and 36944?

Greatest common factor (GCF) of 36935 and 36944 is 1.

GCF(36935,36944) = 1

We will now calculate the prime factors of 36935 and 36944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36935 and 36944.

How to find the GCF of 36935 and 36944?

We will first find the prime factorization of 36935 and 36944. After we will calculate the factors of 36935 and 36944 and find the biggest common factor number .

Step-1: Prime Factorization of 36935

Prime factors of 36935 are 5, 83, 89. Prime factorization of 36935 in exponential form is:

36935 = 5¹ × 83¹ × 89¹

Step-2: Prime Factorization of 36944

Prime factors of 36944 are 2, 2309. Prime factorization of 36944 in exponential form is:

36944 = 2⁴ × 2309¹

Step-3: Factors of 36935

List of positive integer factors of 36935 that divides 36935 without a remainder.

1, 5, 83, 89, 415, 445, 7387

Step-4: Factors of 36944

List of positive integer factors of 36944 that divides 36935 without a remainder.

1, 2, 4, 8, 16, 2309, 4618, 9236, 18472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36935 and 36944. The biggest common factor number is the GCF number.
So the greatest common factor 36935 and 36944 is 1.

Also check out the Least Common Multiple of 36935 and 36944