What is the Greatest Common Factor of 61262 and 61266?

Greatest common factor (GCF) of 61262 and 61266 is 2.

GCF(61262,61266) = 2

We will now calculate the prime factors of 61262 and 61266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61262 and 61266.

How to find the GCF of 61262 and 61266?

We will first find the prime factorization of 61262 and 61266. After we will calculate the factors of 61262 and 61266 and find the biggest common factor number .

Step-1: Prime Factorization of 61262

Prime factors of 61262 are 2, 30631. Prime factorization of 61262 in exponential form is:

61262 = 2¹ × 30631¹

Step-2: Prime Factorization of 61266

Prime factors of 61266 are 2, 3, 10211. Prime factorization of 61266 in exponential form is:

61266 = 2¹ × 3¹ × 10211¹

Step-3: Factors of 61262

List of positive integer factors of 61262 that divides 61262 without a remainder.

1, 2, 30631

Step-4: Factors of 61266

List of positive integer factors of 61266 that divides 61262 without a remainder.

1, 2, 3, 6, 10211, 20422, 30633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61262 and 61266. The biggest common factor number is the GCF number.
So the greatest common factor 61262 and 61266 is 2.

Also check out the Least Common Multiple of 61262 and 61266