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What is the Greatest Common Factor of 90938 and 90950?

Greatest common factor (GCF) of 90938 and 90950 is 2.

GCF(90938,90950) = 2

We will now calculate the prime factors of 90938 and 90950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90938 and 90950.

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How to find the GCF of 90938 and 90950?

We will first find the prime factorization of 90938 and 90950. After we will calculate the factors of 90938 and 90950 and find the biggest common factor number .

Step-1: Prime Factorization of 90938

Prime factors of 90938 are 2, 41, 1109. Prime factorization of 90938 in exponential form is:

90938 = 21 × 411 × 11091

Step-2: Prime Factorization of 90950

Prime factors of 90950 are 2, 5, 17, 107. Prime factorization of 90950 in exponential form is:

90950 = 21 × 52 × 171 × 1071

Step-3: Factors of 90938

List of positive integer factors of 90938 that divides 90938 without a remainder.

1, 2, 41, 82, 1109, 2218, 45469

Step-4: Factors of 90950

List of positive integer factors of 90950 that divides 90938 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 107, 170, 214, 425, 535, 850, 1070, 1819, 2675, 3638, 5350, 9095, 18190, 45475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90938 and 90950. The biggest common factor number is the GCF number.
So the greatest common factor 90938 and 90950 is 2.

Also check out the Least Common Multiple of 90938 and 90950