What is the Greatest Common Factor of 69600 and 69618?
Greatest common factor (GCF) of 69600 and 69618 is 6.
GCF(69600,69618) = 6
We will now calculate the prime factors of 69600 and 69618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69600 and 69618.
How to find the GCF of 69600 and 69618?
We will first find the prime factorization of 69600 and 69618. After we will calculate the factors of 69600 and 69618 and find the biggest common factor number .
Step-1: Prime Factorization of 69600
Prime factors of 69600 are 2, 3, 5, 29. Prime factorization of 69600 in exponential form is:
69600 = 25 × 31 × 52 × 291
Step-2: Prime Factorization of 69618
Prime factors of 69618 are 2, 3, 41, 283. Prime factorization of 69618 in exponential form is:
69618 = 21 × 31 × 411 × 2831
Step-3: Factors of 69600
List of positive integer factors of 69600 that divides 69600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 29, 30, 32, 40, 48, 50, 58, 60, 75, 80, 87, 96, 100, 116, 120, 145, 150, 160, 174, 200, 232, 240, 290, 300, 348, 400, 435, 464, 480, 580, 600, 696, 725, 800, 870, 928, 1160, 1200, 1392, 1450, 1740, 2175, 2320, 2400, 2784, 2900, 3480, 4350, 4640, 5800, 6960, 8700, 11600, 13920, 17400, 23200, 34800
Step-4: Factors of 69618
List of positive integer factors of 69618 that divides 69600 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246, 283, 566, 849, 1698, 11603, 23206, 34809
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 69600 and 69618. The biggest common factor number is the GCF number.
So the greatest common factor 69600 and 69618 is 6.
Also check out the Least Common Multiple of 69600 and 69618
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