What is the Greatest Common Factor of 62577 and 62594?

Greatest common factor (GCF) of 62577 and 62594 is 17.

GCF(62577,62594) = 17

We will now calculate the prime factors of 62577 and 62594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62577 and 62594.

How to find the GCF of 62577 and 62594?

We will first find the prime factorization of 62577 and 62594. After we will calculate the factors of 62577 and 62594 and find the biggest common factor number .

Step-1: Prime Factorization of 62577

Prime factors of 62577 are 3, 17, 409. Prime factorization of 62577 in exponential form is:

62577 = 3² × 17¹ × 409¹

Step-2: Prime Factorization of 62594

Prime factors of 62594 are 2, 7, 17, 263. Prime factorization of 62594 in exponential form is:

62594 = 2¹ × 7¹ × 17¹ × 263¹

Step-3: Factors of 62577

List of positive integer factors of 62577 that divides 62577 without a remainder.

1, 3, 9, 17, 51, 153, 409, 1227, 3681, 6953, 20859

Step-4: Factors of 62594

List of positive integer factors of 62594 that divides 62577 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 263, 526, 1841, 3682, 4471, 8942, 31297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62577 and 62594. The biggest common factor number is the GCF number.
So the greatest common factor 62577 and 62594 is 17.

Also check out the Least Common Multiple of 62577 and 62594