What is the Greatest Common Factor of 47426 and 47436?

Greatest common factor (GCF) of 47426 and 47436 is 2.

GCF(47426,47436) = 2

We will now calculate the prime factors of 47426 and 47436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47426 and 47436.

How to find the GCF of 47426 and 47436?

We will first find the prime factorization of 47426 and 47436. After we will calculate the factors of 47426 and 47436 and find the biggest common factor number .

Step-1: Prime Factorization of 47426

Prime factors of 47426 are 2, 23, 1031. Prime factorization of 47426 in exponential form is:

47426 = 2¹ × 23¹ × 1031¹

Step-2: Prime Factorization of 47436

Prime factors of 47436 are 2, 3, 59, 67. Prime factorization of 47436 in exponential form is:

47436 = 2² × 3¹ × 59¹ × 67¹

Step-3: Factors of 47426

List of positive integer factors of 47426 that divides 47426 without a remainder.

1, 2, 23, 46, 1031, 2062, 23713

Step-4: Factors of 47436

List of positive integer factors of 47436 that divides 47426 without a remainder.

1, 2, 3, 4, 6, 12, 59, 67, 118, 134, 177, 201, 236, 268, 354, 402, 708, 804, 3953, 7906, 11859, 15812, 23718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47426 and 47436. The biggest common factor number is the GCF number.
So the greatest common factor 47426 and 47436 is 2.

Also check out the Least Common Multiple of 47426 and 47436