What is the Greatest Common Factor of 62425 and 62436?

Greatest common factor (GCF) of 62425 and 62436 is 11.

GCF(62425,62436) = 11

We will now calculate the prime factors of 62425 and 62436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62425 and 62436.

How to find the GCF of 62425 and 62436?

We will first find the prime factorization of 62425 and 62436. After we will calculate the factors of 62425 and 62436 and find the biggest common factor number .

Step-1: Prime Factorization of 62425

Prime factors of 62425 are 5, 11, 227. Prime factorization of 62425 in exponential form is:

62425 = 5² × 11¹ × 227¹

Step-2: Prime Factorization of 62436

Prime factors of 62436 are 2, 3, 11, 43. Prime factorization of 62436 in exponential form is:

62436 = 2² × 3¹ × 11² × 43¹

Step-3: Factors of 62425

List of positive integer factors of 62425 that divides 62425 without a remainder.

1, 5, 11, 25, 55, 227, 275, 1135, 2497, 5675, 12485

Step-4: Factors of 62436

List of positive integer factors of 62436 that divides 62425 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 121, 129, 132, 172, 242, 258, 363, 473, 484, 516, 726, 946, 1419, 1452, 1892, 2838, 5203, 5676, 10406, 15609, 20812, 31218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62425 and 62436. The biggest common factor number is the GCF number.
So the greatest common factor 62425 and 62436 is 11.

Also check out the Least Common Multiple of 62425 and 62436