What is the Greatest Common Factor of 65940 and 65949?

Greatest common factor (GCF) of 65940 and 65949 is 3.

GCF(65940,65949) = 3

We will now calculate the prime factors of 65940 and 65949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65940 and 65949.

How to find the GCF of 65940 and 65949?

We will first find the prime factorization of 65940 and 65949. After we will calculate the factors of 65940 and 65949 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 65949

Prime factors of 65949 are 3, 13, 19, 89. Prime factorization of 65949 in exponential form is:

65949 = 3¹ × 13¹ × 19¹ × 89¹

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 65949

List of positive integer factors of 65949 that divides 65940 without a remainder.

1, 3, 13, 19, 39, 57, 89, 247, 267, 741, 1157, 1691, 3471, 5073, 21983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65940 and 65949. The biggest common factor number is the GCF number.
So the greatest common factor 65940 and 65949 is 3.

Also check out the Least Common Multiple of 65940 and 65949