What is the Greatest Common Factor of 59643 and 59661?

Greatest common factor (GCF) of 59643 and 59661 is 9.

GCF(59643,59661) = 9

We will now calculate the prime factors of 59643 and 59661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59643 and 59661.

How to find the GCF of 59643 and 59661?

We will first find the prime factorization of 59643 and 59661. After we will calculate the factors of 59643 and 59661 and find the biggest common factor number .

Step-1: Prime Factorization of 59643

Prime factors of 59643 are 3, 47. Prime factorization of 59643 in exponential form is:

59643 = 3³ × 47²

Step-2: Prime Factorization of 59661

Prime factors of 59661 are 3, 7, 947. Prime factorization of 59661 in exponential form is:

59661 = 3² × 7¹ × 947¹

Step-3: Factors of 59643

List of positive integer factors of 59643 that divides 59643 without a remainder.

1, 3, 9, 27, 47, 141, 423, 1269, 2209, 6627, 19881

Step-4: Factors of 59661

List of positive integer factors of 59661 that divides 59643 without a remainder.

1, 3, 7, 9, 21, 63, 947, 2841, 6629, 8523, 19887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59643 and 59661. The biggest common factor number is the GCF number.
So the greatest common factor 59643 and 59661 is 9.

Also check out the Least Common Multiple of 59643 and 59661