What is the Greatest Common Factor of 65940 and 65955?

Greatest common factor (GCF) of 65940 and 65955 is 15.

GCF(65940,65955) = 15

We will now calculate the prime factors of 65940 and 65955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65940 and 65955.

How to find the GCF of 65940 and 65955?

We will first find the prime factorization of 65940 and 65955. After we will calculate the factors of 65940 and 65955 and find the biggest common factor number .

Step-1: Prime Factorization of 65940

Prime factors of 65940 are 2, 3, 5, 7, 157. Prime factorization of 65940 in exponential form is:

65940 = 2² × 3¹ × 5¹ × 7¹ × 157¹

Step-2: Prime Factorization of 65955

Prime factors of 65955 are 3, 5, 4397. Prime factorization of 65955 in exponential form is:

65955 = 3¹ × 5¹ × 4397¹

Step-3: Factors of 65940

List of positive integer factors of 65940 that divides 65940 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 157, 210, 314, 420, 471, 628, 785, 942, 1099, 1570, 1884, 2198, 2355, 3140, 3297, 4396, 4710, 5495, 6594, 9420, 10990, 13188, 16485, 21980, 32970

Step-4: Factors of 65955

List of positive integer factors of 65955 that divides 65940 without a remainder.

1, 3, 5, 15, 4397, 13191, 21985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65940 and 65955. The biggest common factor number is the GCF number.
So the greatest common factor 65940 and 65955 is 15.

Also check out the Least Common Multiple of 65940 and 65955