What is the Greatest Common Factor of 65552 and 65562?

Greatest common factor (GCF) of 65552 and 65562 is 2.

GCF(65552,65562) = 2

We will now calculate the prime factors of 65552 and 65562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65552 and 65562.

How to find the GCF of 65552 and 65562?

We will first find the prime factorization of 65552 and 65562. After we will calculate the factors of 65552 and 65562 and find the biggest common factor number .

Step-1: Prime Factorization of 65552

Prime factors of 65552 are 2, 17, 241. Prime factorization of 65552 in exponential form is:

65552 = 2⁴ × 17¹ × 241¹

Step-2: Prime Factorization of 65562

Prime factors of 65562 are 2, 3, 7, 223. Prime factorization of 65562 in exponential form is:

65562 = 2¹ × 3¹ × 7² × 223¹

Step-3: Factors of 65552

List of positive integer factors of 65552 that divides 65552 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 241, 272, 482, 964, 1928, 3856, 4097, 8194, 16388, 32776

Step-4: Factors of 65562

List of positive integer factors of 65562 that divides 65552 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 223, 294, 446, 669, 1338, 1561, 3122, 4683, 9366, 10927, 21854, 32781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65552 and 65562. The biggest common factor number is the GCF number.
So the greatest common factor 65552 and 65562 is 2.

Also check out the Least Common Multiple of 65552 and 65562