What is the Greatest Common Factor of 65148 and 65163?

Greatest common factor (GCF) of 65148 and 65163 is 3.

GCF(65148,65163) = 3

We will now calculate the prime factors of 65148 and 65163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65148 and 65163.

How to find the GCF of 65148 and 65163?

We will first find the prime factorization of 65148 and 65163. After we will calculate the factors of 65148 and 65163 and find the biggest common factor number .

Step-1: Prime Factorization of 65148

Prime factors of 65148 are 2, 3, 61, 89. Prime factorization of 65148 in exponential form is:

65148 = 2² × 3¹ × 61¹ × 89¹

Step-2: Prime Factorization of 65163

Prime factors of 65163 are 3, 7, 29, 107. Prime factorization of 65163 in exponential form is:

65163 = 3¹ × 7¹ × 29¹ × 107¹

Step-3: Factors of 65148

List of positive integer factors of 65148 that divides 65148 without a remainder.

1, 2, 3, 4, 6, 12, 61, 89, 122, 178, 183, 244, 267, 356, 366, 534, 732, 1068, 5429, 10858, 16287, 21716, 32574

Step-4: Factors of 65163

List of positive integer factors of 65163 that divides 65148 without a remainder.

1, 3, 7, 21, 29, 87, 107, 203, 321, 609, 749, 2247, 3103, 9309, 21721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65148 and 65163. The biggest common factor number is the GCF number.
So the greatest common factor 65148 and 65163 is 3.

Also check out the Least Common Multiple of 65148 and 65163