What is the Greatest Common Factor of 65964 and 65984?

Greatest common factor (GCF) of 65964 and 65984 is 4.

GCF(65964,65984) = 4

We will now calculate the prime factors of 65964 and 65984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65964 and 65984.

How to find the GCF of 65964 and 65984?

We will first find the prime factorization of 65964 and 65984. After we will calculate the factors of 65964 and 65984 and find the biggest common factor number .

Step-1: Prime Factorization of 65964

Prime factors of 65964 are 2, 3, 23, 239. Prime factorization of 65964 in exponential form is:

65964 = 2² × 3¹ × 23¹ × 239¹

Step-2: Prime Factorization of 65984

Prime factors of 65984 are 2, 1031. Prime factorization of 65984 in exponential form is:

65984 = 2⁶ × 1031¹

Step-3: Factors of 65964

List of positive integer factors of 65964 that divides 65964 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 239, 276, 478, 717, 956, 1434, 2868, 5497, 10994, 16491, 21988, 32982

Step-4: Factors of 65984

List of positive integer factors of 65984 that divides 65964 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1031, 2062, 4124, 8248, 16496, 32992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65964 and 65984. The biggest common factor number is the GCF number.
So the greatest common factor 65964 and 65984 is 4.

Also check out the Least Common Multiple of 65964 and 65984