What is the Greatest Common Factor of 62435 and 62450?

Greatest common factor (GCF) of 62435 and 62450 is 5.

GCF(62435,62450) = 5

We will now calculate the prime factors of 62435 and 62450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62435 and 62450.

How to find the GCF of 62435 and 62450?

We will first find the prime factorization of 62435 and 62450. After we will calculate the factors of 62435 and 62450 and find the biggest common factor number .

Step-1: Prime Factorization of 62435

Prime factors of 62435 are 5, 12487. Prime factorization of 62435 in exponential form is:

62435 = 5¹ × 12487¹

Step-2: Prime Factorization of 62450

Prime factors of 62450 are 2, 5, 1249. Prime factorization of 62450 in exponential form is:

62450 = 2¹ × 5² × 1249¹

Step-3: Factors of 62435

List of positive integer factors of 62435 that divides 62435 without a remainder.

1, 5, 12487

Step-4: Factors of 62450

List of positive integer factors of 62450 that divides 62435 without a remainder.

1, 2, 5, 10, 25, 50, 1249, 2498, 6245, 12490, 31225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62435 and 62450. The biggest common factor number is the GCF number.
So the greatest common factor 62435 and 62450 is 5.

Also check out the Least Common Multiple of 62435 and 62450