What is the Greatest Common Factor of 59546 and 59562?

Greatest common factor (GCF) of 59546 and 59562 is 2.

GCF(59546,59562) = 2

We will now calculate the prime factors of 59546 and 59562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59546 and 59562.

How to find the GCF of 59546 and 59562?

We will first find the prime factorization of 59546 and 59562. After we will calculate the factors of 59546 and 59562 and find the biggest common factor number .

Step-1: Prime Factorization of 59546

Prime factors of 59546 are 2, 19, 1567. Prime factorization of 59546 in exponential form is:

59546 = 2¹ × 19¹ × 1567¹

Step-2: Prime Factorization of 59562

Prime factors of 59562 are 2, 3, 1103. Prime factorization of 59562 in exponential form is:

59562 = 2¹ × 3³ × 1103¹

Step-3: Factors of 59546

List of positive integer factors of 59546 that divides 59546 without a remainder.

1, 2, 19, 38, 1567, 3134, 29773

Step-4: Factors of 59562

List of positive integer factors of 59562 that divides 59546 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1103, 2206, 3309, 6618, 9927, 19854, 29781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59546 and 59562. The biggest common factor number is the GCF number.
So the greatest common factor 59546 and 59562 is 2.

Also check out the Least Common Multiple of 59546 and 59562