What is the Greatest Common Factor of 62068 and 62074?

Greatest common factor (GCF) of 62068 and 62074 is 2.

GCF(62068,62074) = 2

We will now calculate the prime factors of 62068 and 62074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62068 and 62074.

How to find the GCF of 62068 and 62074?

We will first find the prime factorization of 62068 and 62074. After we will calculate the factors of 62068 and 62074 and find the biggest common factor number .

Step-1: Prime Factorization of 62068

Prime factors of 62068 are 2, 59, 263. Prime factorization of 62068 in exponential form is:

62068 = 2² × 59¹ × 263¹

Step-2: Prime Factorization of 62074

Prime factors of 62074 are 2, 41, 757. Prime factorization of 62074 in exponential form is:

62074 = 2¹ × 41¹ × 757¹

Step-3: Factors of 62068

List of positive integer factors of 62068 that divides 62068 without a remainder.

1, 2, 4, 59, 118, 236, 263, 526, 1052, 15517, 31034

Step-4: Factors of 62074

List of positive integer factors of 62074 that divides 62068 without a remainder.

1, 2, 41, 82, 757, 1514, 31037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62068 and 62074. The biggest common factor number is the GCF number.
So the greatest common factor 62068 and 62074 is 2.

Also check out the Least Common Multiple of 62068 and 62074