What is the Greatest Common Factor of 85509 and 85526?
Greatest common factor (GCF) of 85509 and 85526 is 1.
GCF(85509,85526) = 1
We will now calculate the prime factors of 85509 and 85526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85509 and 85526.
How to find the GCF of 85509 and 85526?
We will first find the prime factorization of 85509 and 85526. After we will calculate the factors of 85509 and 85526 and find the biggest common factor number .
Step-1: Prime Factorization of 85509
Prime factors of 85509 are 3, 3167. Prime factorization of 85509 in exponential form is:
85509 = 33 × 31671
Step-2: Prime Factorization of 85526
Prime factors of 85526 are 2, 7, 41, 149. Prime factorization of 85526 in exponential form is:
85526 = 21 × 71 × 411 × 1491
Step-3: Factors of 85509
List of positive integer factors of 85509 that divides 85509 without a remainder.
1, 3, 9, 27, 3167, 9501, 28503
Step-4: Factors of 85526
List of positive integer factors of 85526 that divides 85509 without a remainder.
1, 2, 7, 14, 41, 82, 149, 287, 298, 574, 1043, 2086, 6109, 12218, 42763
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 85509 and 85526. The biggest common factor number is the GCF number.
So the greatest common factor 85509 and 85526 is 1.
Also check out the Least Common Multiple of 85509 and 85526
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