What is the Greatest Common Factor of 65930 and 65940?

Greatest common factor (GCF) of 65930 and 65940 is 10.

GCF(65930,65940) = 10

We will now calculate the prime factors of 65930 and 65940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65930 and 65940.

How to find the GCF of 65930 and 65940?

We will first find the prime factorization of 65930 and 65940. After we will calculate the factors of 65930 and 65940 and find the biggest common factor number .

Step-1: Prime Factorization of 65930

Prime factors of 65930 are 2, 5, 19, 347. Prime factorization of 65930 in exponential form is:

65930 = 2¹ × 5¹ × 19¹ × 347¹

Step-2: 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-3: Factors of 65930

List of positive integer factors of 65930 that divides 65930 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 347, 694, 1735, 3470, 6593, 13186, 32965

Step-4: Factors of 65940

List of positive integer factors of 65940 that divides 65930 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65930 and 65940. The biggest common factor number is the GCF number.
So the greatest common factor 65930 and 65940 is 10.

Also check out the Least Common Multiple of 65930 and 65940