What is the Greatest Common Factor of 91438 and 91450?

Greatest common factor (GCF) of 91438 and 91450 is 2.

GCF(91438,91450) = 2

We will now calculate the prime factors of 91438 and 91450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91438 and 91450.

How to find the GCF of 91438 and 91450?

We will first find the prime factorization of 91438 and 91450. After we will calculate the factors of 91438 and 91450 and find the biggest common factor number .

Step-1: Prime Factorization of 91438

Prime factors of 91438 are 2, 131, 349. Prime factorization of 91438 in exponential form is:

91438 = 2¹ × 131¹ × 349¹

Step-2: Prime Factorization of 91450

Prime factors of 91450 are 2, 5, 31, 59. Prime factorization of 91450 in exponential form is:

91450 = 2¹ × 5² × 31¹ × 59¹

Step-3: Factors of 91438

List of positive integer factors of 91438 that divides 91438 without a remainder.

1, 2, 131, 262, 349, 698, 45719

Step-4: Factors of 91450

List of positive integer factors of 91450 that divides 91438 without a remainder.

1, 2, 5, 10, 25, 31, 50, 59, 62, 118, 155, 295, 310, 590, 775, 1475, 1550, 1829, 2950, 3658, 9145, 18290, 45725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91438 and 91450. The biggest common factor number is the GCF number.
So the greatest common factor 91438 and 91450 is 2.

Also check out the Least Common Multiple of 91438 and 91450