What is the Greatest Common Factor of 91050 and 91060?
Greatest common factor (GCF) of 91050 and 91060 is 10.
GCF(91050,91060) = 10
We will now calculate the prime factors of 91050 and 91060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91050 and 91060.
How to find the GCF of 91050 and 91060?
We will first find the prime factorization of 91050 and 91060. After we will calculate the factors of 91050 and 91060 and find the biggest common factor number .
Step-1: Prime Factorization of 91050
Prime factors of 91050 are 2, 3, 5, 607. Prime factorization of 91050 in exponential form is:
91050 = 21 × 31 × 52 × 6071
Step-2: Prime Factorization of 91060
Prime factors of 91060 are 2, 5, 29, 157. Prime factorization of 91060 in exponential form is:
91060 = 22 × 51 × 291 × 1571
Step-3: Factors of 91050
List of positive integer factors of 91050 that divides 91050 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 607, 1214, 1821, 3035, 3642, 6070, 9105, 15175, 18210, 30350, 45525
Step-4: Factors of 91060
List of positive integer factors of 91060 that divides 91050 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 157, 290, 314, 580, 628, 785, 1570, 3140, 4553, 9106, 18212, 22765, 45530
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 91050 and 91060. The biggest common factor number is the GCF number.
So the greatest common factor 91050 and 91060 is 10.
Also check out the Least Common Multiple of 91050 and 91060
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