What is the Greatest Common Factor of 65940 and 65947?

Greatest common factor (GCF) of 65940 and 65947 is 7.

GCF(65940,65947) = 7

We will now calculate the prime factors of 65940 and 65947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65940 and 65947.

How to find the GCF of 65940 and 65947?

We will first find the prime factorization of 65940 and 65947. After we will calculate the factors of 65940 and 65947 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 65947

Prime factors of 65947 are 7, 9421. Prime factorization of 65947 in exponential form is:

65947 = 7¹ × 9421¹

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 65947

List of positive integer factors of 65947 that divides 65940 without a remainder.

1, 7, 9421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65940 and 65947. The biggest common factor number is the GCF number.
So the greatest common factor 65940 and 65947 is 7.

Also check out the Least Common Multiple of 65940 and 65947