What is the Greatest Common Factor of 36960 and 36977?

Greatest common factor (GCF) of 36960 and 36977 is 1.

GCF(36960,36977) = 1

We will now calculate the prime factors of 36960 and 36977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36960 and 36977.

How to find the GCF of 36960 and 36977?

We will first find the prime factorization of 36960 and 36977. After we will calculate the factors of 36960 and 36977 and find the biggest common factor number .

Step-1: Prime Factorization of 36960

Prime factors of 36960 are 2, 3, 5, 7, 11. Prime factorization of 36960 in exponential form is:

36960 = 2⁵ × 3¹ × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 36977

Prime factors of 36977 are 103, 359. Prime factorization of 36977 in exponential form is:

36977 = 103¹ × 359¹

Step-3: Factors of 36960

List of positive integer factors of 36960 that divides 36960 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 20, 21, 22, 24, 28, 30, 32, 33, 35, 40, 42, 44, 48, 55, 56, 60, 66, 70, 77, 80, 84, 88, 96, 105, 110, 112, 120, 132, 140, 154, 160, 165, 168, 176, 210, 220, 224, 231, 240, 264, 280, 308, 330, 336, 352, 385, 420, 440, 462, 480, 528, 560, 616, 660, 672, 770, 840, 880, 924, 1056, 1120, 1155, 1232, 1320, 1540, 1680, 1760, 1848, 2310, 2464, 2640, 3080, 3360, 3696, 4620, 5280, 6160, 7392, 9240, 12320, 18480

Step-4: Factors of 36977

List of positive integer factors of 36977 that divides 36960 without a remainder.

1, 103, 359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36960 and 36977. The biggest common factor number is the GCF number.
So the greatest common factor 36960 and 36977 is 1.

Also check out the Least Common Multiple of 36960 and 36977