What is the Greatest Common Factor of 71946 and 71952?

Greatest common factor (GCF) of 71946 and 71952 is 6.

GCF(71946,71952) = 6

We will now calculate the prime factors of 71946 and 71952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71946 and 71952.

How to find the GCF of 71946 and 71952?

We will first find the prime factorization of 71946 and 71952. After we will calculate the factors of 71946 and 71952 and find the biggest common factor number .

Step-1: Prime Factorization of 71946

Prime factors of 71946 are 2, 3, 7, 571. Prime factorization of 71946 in exponential form is:

71946 = 2¹ × 3² × 7¹ × 571¹

Step-2: Prime Factorization of 71952

Prime factors of 71952 are 2, 3, 1499. Prime factorization of 71952 in exponential form is:

71952 = 2⁴ × 3¹ × 1499¹

Step-3: Factors of 71946

List of positive integer factors of 71946 that divides 71946 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 571, 1142, 1713, 3426, 3997, 5139, 7994, 10278, 11991, 23982, 35973

Step-4: Factors of 71952

List of positive integer factors of 71952 that divides 71946 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1499, 2998, 4497, 5996, 8994, 11992, 17988, 23984, 35976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71946 and 71952. The biggest common factor number is the GCF number.
So the greatest common factor 71946 and 71952 is 6.

Also check out the Least Common Multiple of 71946 and 71952